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Finding the Third Proportional to 34,983,930 and 51,579,078

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Solution

The third proportional to 34,983,930 and 51,579,078 is: 76,046,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,983,930 : 51,579,078 = 51,579,078 : x
  2. Step 2: Convert to fraction form
    34,983,930/51,579,078 = 51,579,078/x
  3. Step 3: Cross multiply
    34,983,930x = 51,579,078 × 51,579,078
  4. Step 4: Simplify right side
    34,983,930x = 2,660,401,287,330,084
  5. Step 5: Solve for x
    x = 2,660,401,287,330,084/34,983,930
  6. Step 6: Final answer
    x = 76,046,381.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.